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41420364334440 = 233571319719254181
BaseRepresentation
bin10010110101011111011100…
…00110100100010101101000
312102122202012102000011221020
421122233232012210111220
520412112401232200230
6224032130325212440
711503344145506150
oct1132575606442550
9172582172004836
1041420364334440
111221a306927223
12478b664261120
131a15c011b0b70
14a32a83529760
154bc68aab3810
hex25abee1a4568

41420364334440 has 256 divisors, whose sum is σ = 153713066411520. Its totient is φ = 8694879621120.

The previous prime is 41420364334399. The next prime is 41420364334477. The reversal of 41420364334440 is 4443346302414.

41420364334440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414203643344402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 41420364334392 and 41420364334401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7475851 + ... + 11778330.

It is an arithmetic number, because the mean of its divisors is an integer number (600441665670).

Almost surely, 241420364334440 is an apocalyptic number.

41420364334440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41420364334440 is an abundant number, since it is smaller than the sum of its proper divisors (112292702077080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41420364334440 is a wasteful number, since it uses less digits than its factorization.

41420364334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19254412 (or 19254408 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 41420364334440 in words is "forty-one trillion, four hundred twenty billion, three hundred sixty-four million, three hundred thirty-four thousand, four hundred forty".